What is the Greatest Common Factor of 22680 and 22694?

Greatest common factor (GCF) of 22680 and 22694 is 14.

GCF(22680,22694) = 14

We will now calculate the prime factors of 22680 and 22694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22680 and 22694.

How to find the GCF of 22680 and 22694?

We will first find the prime factorization of 22680 and 22694. After we will calculate the factors of 22680 and 22694 and find the biggest common factor number .

Step-1: Prime Factorization of 22680

Prime factors of 22680 are 2, 3, 5, 7. Prime factorization of 22680 in exponential form is:

22680 = 2³ × 3⁴ × 5¹ × 7¹

Step-2: Prime Factorization of 22694

Prime factors of 22694 are 2, 7, 1621. Prime factorization of 22694 in exponential form is:

22694 = 2¹ × 7¹ × 1621¹

Step-3: Factors of 22680

List of positive integer factors of 22680 that divides 22680 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 81, 84, 90, 105, 108, 120, 126, 135, 140, 162, 168, 180, 189, 210, 216, 252, 270, 280, 315, 324, 360, 378, 405, 420, 504, 540, 567, 630, 648, 756, 810, 840, 945, 1080, 1134, 1260, 1512, 1620, 1890, 2268, 2520, 2835, 3240, 3780, 4536, 5670, 7560, 11340

Step-4: Factors of 22694

List of positive integer factors of 22694 that divides 22680 without a remainder.

1, 2, 7, 14, 1621, 3242, 11347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22680 and 22694. The biggest common factor number is the GCF number.
So the greatest common factor 22680 and 22694 is 14.

Also check out the Least Common Multiple of 22680 and 22694